What two numbers multiply to 512 and add up to -72?

Here we answer the question: "What two numbers multiply to 512 and add up to -72?"

The answer to your question is:

-64 and -8

Below we illustrate and prove that -64 and -8 multiply to 512 and add up to -72:

-64 × -8 = 512
-64 + -8 = -72

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² - 72x + 512 = 0

If so, the solution to factor the quadratic equation above is:

(x - 64 ) (x - 8)

To summarize, since -64 and -8 multiply to 512 and add up -72, you know that the following is true:

x² - 72x + 512 = (x - 64 ) (x - 8)

Multiply To One Number and Add Up To Another
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